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Finding the Third Proportional to 219,220 and 471,074

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Solution

The third proportional to 219,220 and 471,074 is: 1,012,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,220 : 471,074 = 471,074 : x
  2. Step 2: Convert to fraction form
    219,220/471,074 = 471,074/x
  3. Step 3: Cross multiply
    219,220x = 471,074 × 471,074
  4. Step 4: Simplify right side
    219,220x = 221,910,713,476
  5. Step 5: Solve for x
    x = 221,910,713,476/219,220
  6. Step 6: Final answer
    x = 1,012,274.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.